A New Series Representation and the Laplace Transform for the Lognormal Distribution

Manuel D. Ortigueira ()
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Manuel D. Ortigueira: Centre of Technology and Systems—UNINOVA and Department of Electrical Engineering, NOVA School of Science and Technology of NOVA University of Lisbon, Quinta da Torre, 2829-516 Caparica, Portugal

Mathematics, 2022, vol. 10, issue 19, 1-13

Abstract: In this paper, the lognormal distribution is studied, and a new series representation is proposed. This series uses the powers of the bilinear function. From it, a simplified form is obtained and used to compute the Laplace transform of the distribution.

Keywords: Laplace transform; lognormal distribution; series representation; bilinear function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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